Find the area of the region bounded by the graphs of the equations [tex]y=2x-x^2, y=0.[/tex] Provide a sketch. Show the work!
Answers
[tex]\\ \sf\longmapsto y=2x-x^2[/tex]
y=0[tex]\\ \sf\longmapsto 2x-x^2=0[/tex]
[tex]\\ \sf\longmapsto x^2-2x=0[/tex]
[tex]\\ \sf\longmapsto x(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=0,2[/tex]
![Find The Area Of The Region Bounded By The Graphs Of The Equations [tex]y=2x-x^2, Y=0.[/tex] Provide](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/s49iv4DBoQUWtKDp5PA859LYcVDi4t83.jpeg)
⇒ y=2x−x2
y=0⇒ 2x - x² = 0
⇒ x² - 2x = 0
⇒ x ( x - 2 ) = 0
⇒ x = 0, 2
Related Questions
Does each relation represent a function? Choose Yes or No.
(1, 3), (2, 5), (2, 7), (4, 9)
(1, 3), (2, 5), (3, 7), (4, 9)
(1, 3), (1, 5), (1, 7), (1, 9)
(1, 3), (2, 3), (3, 3), (4, 3)
Answers
Answer:
No, Yes, No, Yes
Step-by-step explanation:
A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)
1.
List of inputs: 1, 2, 2, 7
List of outputs: 3, 5, 7, 9
For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function
2.
Inputs: 1, 2, 3, 4
Outputs: 3, 5, 7, 9
Each input only has one output, so this is a function
3.
Inputs: 1, 1, 1, 1
Outputs: 3, 5, 7, 9
For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function
4.
Inputs: 1, 2, 3, 4
Outputs: 3, 3, 3, 3
Each input is only mapped to one output, so this is a function
A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x–2y=p?
p=
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Answer:
Step-by-step explanation:
A fabric store sells close-out fabrics for $2.14 a yard. A customer buys 8 yards of fabric. How much does the customer pay for the fabric? Show your work.
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Answer:
$17.12
Step-by-step explanation:
2.14 · 8 = 17.12
(88)(√75)
HELP ASAP....
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Answer:
sqr75=sqr25*sqr3=5*sqr3
88(5*sqr3)
decimal = 762.10235533
Answer:
440√3Step-by-step explanation:
Given:
88√75Solution:
88•√(5^2 * 3)Rewrite the expression as:
88•(5√3)Multiply 88 into 5:
440√3762.102 ( 3 decimal place )Daniel made 32 ounces of soup for 5 people. How many ounces will each person get?
Answers
Answer:
6.4 ounces
Step-by-step explanation:
If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.
32 / 5 = 6.4
Answer: If there's a remainder, then it's 6 with a remainder of 2
If it's a decimal (depends on what grade your sister's in), it's 6.4
If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5
Step-by-step explanation:
32÷5=6r2, 6.4, or 6 2⁄5
How do you solve this
Answers
Answer:
x > 3
Step-by-step explanation:
And then, I believe you just need to solve that answer. But I'm not sure tho
Help on this algebra 2 question look at the pic. Is it’s A, B or C
Answers
Answer:
A is correct
Step-by-step explanation:
perimeter is twice the sum of the two adjacent sides
p = 2(x + (2x³ - 3x + 4))
p = 2(2x³ - 2x + 4)
p = 4x³ - 4x + 8
Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be
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Answer:
Step-by-step explanation:
I need help with this math problem
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Step-by-step explanation:
that is just a complicated way to ask, at what values of x is the functional value infinite ? or directly, for what values of x is the denominator of that fraction 0 ?
it is zero, if just one of the 3 factors is 0.
and that would happen for
x = 0
x = -6
x = 1
so, A, D and E are correct.
whats b + 29 + 12b + 5b² if b = -3
Answers
Answer:
215
Step-by-step explanation:
-3+29+12(-3)+5(-3)[tex]^{2}[/tex]
Graph the following inequality and then select the correct graph below x + 2 > 1
Answers
Answer:
The graph is attached below.
Step-by-step explanation:
First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.
This gives us x is greater than -1. So, we can graph:
Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288
Answers
Answer:
2x + 3x + 7x = 288
12x = 288
x = 24
The largest number is therefore 7 * 24 = 168
Step-by-step explanation:
Marco buys a wooden board that is 12 feet long. The cost of the board is $1.25 per foot, including tax. What is the total cost, in dollars, of Marco's board?
Answers
The cost of the length of wood Marco buys depends on the price of the wood.
The total cost in dollars of Marco's board is $15
Reasons:
The length of the wooden board Marco buys (quantity) = 12 feet
The cost of the board per foot, including tax (price) = $1.25
Let x represent the percentage of the tax applied to the total cost, and let y represent the cost before tax, we have;
Cost per foot, C₁ = 1.25 = y + x·y
The cost of 12 feet of the wooden board is given by the proportional relationship between cost, price and quantity as follows;
Cost = Price × Quantity
The cost of 12 feet of the wood is therefore;
Cost of 12 feet, C₁₂ = 12 × y + 12 × x·y = 12 × (y + x·y) = 12 × $1.25 = $15
The cost of 12 feet of wood = $15
Learn more about proportions here:
https://brainly.com/question/65853
Find the slope.
y = 3x – 11
m =[?]
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you know that y=mx +c then in the place of m is 3 then answe is also three.
When a guy says he cheated just to let the world know what does he mean?
Answers
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?
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Answer:
$270
Step-by-step explanation:
130%/100%=$351/X
(351*100)/130=$270
Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1
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Answer:
Gracias por los puntos
Bye :v
If a recipe uses 5 cups of flour for every 2 cups of sugar, how much sugar is used for every 1 cup of flour?
Answers
2/5 cup of sugar
you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar
A monkey is swinging from a tree, on the first swing, she passes through an arc of 10 m. with each swing she passes through an arc 9/10 the length of the previous swing. what is total distance the monkey has traveled when she completes her 25th swing
Answers
Answer:
≈ 92.821 m
Step-by-step explanation:
For a geometric series with initial value a and rate r, the sum after n terms can be represented by
a*(1-r^n)/(1-r)
Here, we know a = 10 (the first swing), r = 9/10 because the second swing was 9/10 of the first swing, meaning we multiply the first swing by 9/10 to get the second swing, and n = 25. Plugging these values in, we get
10 * (1-0.9^25)/(1-0.9) ≈ 92.821 m
Litter cleanup volunteers form 4 groups containing v volunteers
each. Then 10 more volunteers show up. The volunteers regroup
into 5 groups each containing 6 people. How many volunteers
were in each original group? Write an ALGEBRAIC EQUATION and solve to answer the question.
Answers
mom will let you know
Step-by-step explanation:
shes gone
Negative 4 squared + (5 minus 2) (negative 6)
Answers
Answer:
-2
Step-by-step explanation:
Find the equation of the line that passes thru (-1,-5) and is parallel to 3x+y=-5. Show work.
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Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
slope-intercept form:
[tex]y=mx+b[/tex]
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
[tex]3x+y=-5[/tex]
In this case, all you need to do is subtract 3x from both sides.
[tex]y=-3x-5[/tex]
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]
Finally, with the slope and the y-intercept, you can write the equation of the line:
[tex]y=-3x-8[/tex]
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answers
Answer:
$28
20 plus 40 percent
that's the answer
two cards from an ordinary deck of 52 cards are lost at random. what is the probability that a random card from the resulting deck is a spade
Answers
Answer:
so theirs 4 suits so 1/4 but since you have 2 cards
its 1/2 or 50%
Hope This Helps!!!
There are 12 students in a class, and 7 of them will be chosen to go on a field trip. How many ways can
these students be chosen?
Answers
Answer:
So we will use combinations, as it does not matter what order they get chosen in.
The combinitoric that you will plug in to your calculator is: nCr(12,7)
Therefore, the answer is 792
when rolling a die what is the probability of getting a number greater than 0
Answers
Answer:
100%
Step-by-step explanation:
Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.
Identify the five-number summary of the following data se
7. 11. 21. 28, 32, 33, 37, 43
Answers
Minimum value = 12
Maximum value = 37
snumber of observations = 10 (even)
Median = Mean of middle most terms
Middle most terms = 22, 25
Median ={22+25}{2}=23.5222+25=23.5
y=x^2 translate 4 units down and 3 units left
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Answer: Hello! When a graph is translated 4 units down you are moving all of the y values. This makes it the easiest translation that we do, other than no translation! All you have to do is subtract 4. Your equation is y=x2 - 4. If you wanted to move the graph up it is addition and if you want to move it down it is subtraction. When you translate right to left it is more complicated! Hope this helps. :))
ya this person is a bot be careful
charissa2
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I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answers
Answer: 69
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The x coordinate of vertex J and L are same of x= -2, JL // Y axis
Height is the perpendicular segment (KD) from K to JL, KD // X axis
area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18